Greatest Common Factor of 1261/431, 8492/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1261/431, 8492/102

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 1261/431,8492/102

Given fractions are 1261/431,8492/102

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 1261,8492

Greatest Common Factor of Numerators i.e. GCF of 1261,8492 is 1 .

LCM of Denominators means LCM of 431,102 as per the given fractions.

LCM of 431,102 is 43962 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1261,8492

GCF of Fractions 1261/431,8492/102 is 1/43962

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1261,8492 By Matching Biggest Common Factor Method

Greatest Common Factor of 1261,8492 By Matching Biggest Common Factor Method

Factors of 1261

List of positive integer factors of 1261 that divides 1261 without a remainder.

1,13,97,1261

Factors of 8492

List of positive integer factors of 8492 that divides 8492 without a remainder.

1,2,4,11,22,44,193,386,772,2123,4246,8492

Greatest Common Factor

We found the factors 1261,8492 . The biggest common factor number is the GCF number.
So the greatest common factor 1261,8492 is 1.

Lets's calculate LCM of 431,102

Given numbers has no common factors except 1. So, there LCM is their product i.e 43962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43962

Therefore, the GCF of Fractions 1261/431,8492/102 is 1/43962

Least Common Multiple of 431,102 with GCF Formula

Least Common Multiple of 431,102 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 431,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,102) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(431,102) x common factors =1 x 1 = 1

LCM(431,102) = ( 431 × 102 ) / 1

LCM(431,102) = 43962 / 1

LCM(431,102) = 43962


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1261/431, 8492/102

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 1261/431, 8492/102?

Answer: GCF of Numerators as per given numbers 1261/431, 8492/102 is

GCF of Numerators i.e. for 1261,8492 is 1

LCM of denominators i.e. for 431,102 is 43962.

Thus, GCF of Fractions is 1/43962.Finally, GCF of Fractions for 1261/431, 8492/102 is 1/43962.